SOLUTION: The area of a rectangle is 160 square inches. The length is four less than three times the width. Find the dimensions of the rectangle. (Show this algebraically...including quadrat

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Question 773780: The area of a rectangle is 160 square inches. The length is four less than three times the width. Find the dimensions of the rectangle. (Show this algebraically...including quadratic.)
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Width = x
Length = 3x - 4
Area of Rectangle = length * width
160 = (3x - 4)* x
160 = 3x^2 - 4x
3x^2 - 4x - 160 = 0
(3x + 20)(x - 8) = 0
3x + 20 = 0
3x = -20
x = -20/3 (no answer x < 0)
x - 8 = 0
x = 8
Width = 8ins
Length = 20ins
Hope this helps.
:-)